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426254252800 = 2852234367343
BaseRepresentation
bin1100011001111101011…
…10111011101100000000
31111202020101120121012011
412030332232323230000
523440432042042200
6523452443542304
742536656240045
oct6147656735400
91452211517164
10426254252800
11154856460092
126a73b82a994
133127098307c
14168b8d5d1cc
15b14b7715ba
hex633ebbbb00

426254252800 has 216 divisors, whose sum is σ = 1126536897024. Its totient is φ = 159293460480.

The previous prime is 426254252771. The next prime is 426254252849. The reversal of 426254252800 is 8252452624.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6295929 + ... + 6363271.

Almost surely, 2426254252800 is an apocalyptic number.

426254252800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426254252800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563268448512).

426254252800 is an abundant number, since it is smaller than the sum of its proper divisors (700282644224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

426254252800 is a wasteful number, since it uses less digits than its factorization.

426254252800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67435 (or 67416 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

The spelling of 426254252800 in words is "four hundred twenty-six billion, two hundred fifty-four million, two hundred fifty-two thousand, eight hundred".